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soldi70 [24.7K]
3 years ago
15

The distance between two objects is increased by 3 times the original distance. How will this change the force of attraction bet

ween the two
objects?
СА
The new force will be -- of the original.
B.
The new force will be 3 times more than the original.
The new force will be- of the original.
D.
The new force will be 9 times more than the original.
Mathematics
1 answer:
rewona [7]3 years ago
5 0
The new force will be of the original
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Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below
guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation D_{o,2.4}(x,y) represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 2.4, therefore

(x,y)\rightarrow (2.4x,2.4y)

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

P(2,-2)\rightarrow P'(2.4(2),2.4(-2))

P(2,-2)\rightarrow P'(4.8,-4.8)

Therefore the coordinates of P' are (4.8,-4.8).

3 0
3 years ago
A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side. the barn a
Alecsey [184]
The answer would be 9 feet.
6 0
3 years ago
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Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
____ [38]

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0
2 years ago
Is 51x51 is even or odd
AURORKA [14]
You can predict that it's odd because the end of the 2 numbers is 1 and 1 x 1 is 1 and one is an odd number. (answer is odd)
3 0
3 years ago
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: A personal computer manufacturer buys 36% of its chips from Japan and the rest from the United St...
meriva

Answer: 0.9862

Step-by-step explanation:

Given : The probability that the chips belongs to Japan: P(J)= 0.36

The probability that the chips belongs to United States : P(U)= 1-0.36=0.64

The proportion of Japanese chips are defective : P(D|J)=0.017

The proportion of American chips are defective : P(D|U)=0.012

Using law of total probability , we have

P(D)=P(D|J)\times P(J)+P(D|U)\times P(U)\\\\\Rightarrow\ P(D)=0.017\times0.36+0.012\times0.64=0.0138

Thus , the probability that chip is defective = 0.0138

Then , the probability that a chip is defect-free=1-0.0138=0.9862

3 0
3 years ago
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